help????????

Question

This year, there are 26 students in Joe's class (it is a SMALL school). There are 20 boys, 8 students in Honors Math and 30% of the boys are in Honors Math. If one student is selected at random, what is the probability that student is a boy or is in Honors Math?

Answer 1

Since there are 20 boys in Joe's class and 30% of them are in Honors Math, that means that a total of 0.3(20) = 6 boys are in honors math, and 14 boys are not.

 

There are 8 students in Honors Math, and if 6 are boys, 2 are girls. That means there are a total of 14 boys not in Honors Math + 6 boys in Honors Math + 2 girls in Honors Math = 22 students who are boys or in Honors Math.

 

With 26 students total, that gives you a probability of:

 

P(boy or Honors Math) = 22/26 = 11/13